981953280 has 864 divisors, whose sum is σ = 4499808768. Its totient is φ = 199065600.

The previous prime is 981953267. The next prime is 981953293. The reversal of 981953280 is 82359189.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (981953267) and next prime (981953293).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23950060 + ... + 23950100.

It is an arithmetic number, because the mean of its divisors is an integer number (5208112).

Almost surely, 2^981953280 is an apocalyptic number.

981953280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249904384).

981953280 is an abundant number, since it is smaller than the sum of its proper divisors (3517855488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

981953280 is a wasteful number, since it uses less digits than its factorization.

981953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 981953280 is about 31336.1337755633. The cubic root of 981953280 is about 993.9478723100.

It can be divided in two parts, 98195 and 3280, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 981953280 in words is "nine hundred eighty-one million, nine hundred fifty-three thousand, two hundred eighty".